On the clssification of multi-isometries

H. Bercovici; R. G. Douglas; C. Foias

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On the clssification of multi-isometries

H. Bercovici·R. G. Douglas·C. Foias

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Abstract

We consider the classification, up to unitary equivalence, of commuting n-tuples of isometries. We pay special attention to the case when the product of the isometries is a shift of finite multiplicity, and we provide a complete classification when this multiplicity equals n. When n=2, we identify a pivotal operator which captures many of the properties of a bi-isometry.

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BibTeX RIS

H. Bercovici, R. G. Douglas, C. Foias. 2006-06-11. On the clssification of multi-isometries. https://arxiv.org/abs/math/0606257

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